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Finding the Fourth Proportional to 405,883.20, 608,911.20 and 125,428.80

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Solution

The fourth proportional to 405,883.20, 608,911.20 and 125,428.80 is: 188,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,883.20 : 608,911.20 = 125,428.80 : x
  2. Step 2: Convert to fraction form
    405,883.20/608,911.20 = 125,428.80/x
  3. Step 3: Cross multiply
    405,883.20x = 608,911.20 × 125,428.80
  4. Step 4: Simplify right side
    405,883.20x = 76,375,001,122.56
  5. Step 5: Solve for x
    x = 76,375,001,122.56/405,883.20
  6. Step 6: Final answer
    x = 188,169.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.